Finding the Third Proportional to 82,116 and 191,898

Step by Step Solution

1. Step 1: Write the proportion equation
   82,116 : 191,898 = 191,898 : x
2. Step 2: Convert to fraction form
   82,116/191,898 = 191,898/x
3. Step 3: Cross multiply
   82,116x = 191,898 × 191,898
4. Step 4: Simplify right side
   82,116x = 36,824,842,404
5. Step 5: Solve for x
   x = 36,824,842,404/82,116
6. Step 6: Final answer
   x = 448,449.05